While I do agree that lucian is in a rather bad spot right now and needs some buffs, i don't think that a range increase of ult buff are the right direction.
Lucians trademark is mobillity, he got a low cd no cost dash and a ms-steroid. However, he also got nasty casttimes, breaking the flow in his combo and hindering his mobillity.
I would change his Q into from beam into a projectile with acerlerating speed and drastically lower the cast time. The misslespeed should be tuned to hit enemies on castrange(550) with the same delay as his current Q.
The faster castime would help alot at kiteing/chaseing and even boosts his dps at higher AS(you will reach a point at which the frame between two AAs is shorter than the current Q castime), while the change to projectile leaves it just as reliable in normal combat range, and makes it a bit easier to dodge on long range, which also is good as the near unavoidable longrange poke in lane is really annoying and one of the reasons he ended up that nerfed.
The W could youse more impact, currently there is no point in it beeing a longranged skillshot with unique hitbox, it barly deals damage, the vision it gives is only usefull to detect ambushes as it doesn't even last a sec, and the MS is bound to AAs. I think as lightslinger, he should be have a bit more vision in his kit. If his W would reveal targets for 1/1.5/2/2.5/3 sec, it would already be a lot more usefull.
I'd also love to see the W castime+animation scale with AS like Tris E.
Maybe also give him a bit better base tankiness to compensate the short range.